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Finding the Fourth Proportional to 94.52, 130.42 and 72.38

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Solution

The fourth proportional to 94.52, 130.42 and 72.38 is: 99.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.52 : 130.42 = 72.38 : x
  2. Step 2: Convert to fraction form
    94.52/130.42 = 72.38/x
  3. Step 3: Cross multiply
    94.52x = 130.42 × 72.38
  4. Step 4: Simplify right side
    94.52x = 9,439.80
  5. Step 5: Solve for x
    x = 9,439.80/94.52
  6. Step 6: Final answer
    x = 99.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.